arXiv subjects

Ewald Mueller

Publications and source records attributed to Ewald Mueller.

47 records · Page 3Linked to original sources

arXiv2000

Relativistic Jets from Collapsars

Using a collapsar progenitor model of MacFadyen & Woosley we have simulated the propagation of an axisymmetric jet through a collapsing rotating massive star with the GENESIS multi-dimensional relativistic hydrodynamic code. The jet forms as a consequence of an assumed (constant or variable) energy deposition in the range $10^{50}$ erg s$^{-1}$ to $10^{51}$ erg s$^{-1}$ within a $30^{\circ}$ cone around the rotation axis. The jet flow is strongly beamed ($\la$ few degrees), spatially inhomogeneous, and time dependent. The jet reaches the surface of the stellar progenitor ($R_{\ast} = 2.98 \times 10^{10} $cm) intact. At breakout the maximum Lorentz factor of the jet flow is 33. After breakout the jet accelerates into the circumstellar medium, whose density is assumed to decrease exponentially and then being constant $ρ_{\rm ext} = 10^{-5}$ gcm$^{-3}$. Outside the star the flow begins to expand also laterally ($v \sim c$), but the beam remains very well collimated. At a distance of $2.54 R_{\ast}$, where the simulation ends, the Lorentz factor has increased to 44.

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arXiv1999

Radio Emission from 3D Relativistic Hydrodynamic Jets: Observational Evidence of Jet Stratification

We present the first radio emission simulations from high resolution three dimensional relativistic hydrodynamic jets, which allow for a study of the observational implications of the interaction between the jet and external medium. This interaction gives rise to a stratification of the jet where a fast spine is surrounded by a slow high energy shear layer. The stratification, and in particular the large specific internal energy and slow flow in the shear layer largely determines the emission from the jet. If the magnetic field in the shear layer becomes helical (e.g., resulting from an initial toroidal field and an aligned field component generated by shear) the emission shows a cross section asymmetry, in which either the top or the bottom of the jet dominates the emission. This, as well as limb or spine brightening, is a function of the viewing angle and flow velocity, and the top/bottom jet emission predominance can be reversed if the jet changes direction with respect to the observer, or presents a change in velocity. The asymmetry is more prominent in the polarized flux, because of field cancellation (or amplification) along the line of sight. Recent observations of jet cross section emission asymmetries in the blazar 1055+018 can be explained assuming the existence of a shear layer with a helical magnetic field.

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arXiv1999

Simulations of Relativistic Jets with GENESIS

The multidimensional relativistic hydrodynamical code GENESIS has been used to obtain first results of {\it 3D} simulations of relativistic jets. We have studied the influence of a slight perturbation of the injection velocity field on the morphodynamics of otherwise axisymmetric relativistic jets.

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arXiv1999

Relativistic Jets from Collapsars

We have studied the relativistic beamed outflow proposed to occur in the collapsar model of gamma-ray bursts. A jet forms as a consequence of an assumed energy deposition of $\sim 10^{50}- 10^{51}$ erg/s within a $30^{\circ}$ cone around the rotation axis of the progenitor star. The generated jet flow is strongly beamed ($\la$ few degrees) and reaches the surface of the stellar progenitor (r $\approx 3 10^{10} $cm) intact. At break-out the maximum Lorentz factor of the jet flow is about 33. Simulations have been performed with the GENESIS multi-dimensional relativistic hydrodynamic code.

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arXiv1999

Numerical hydrodynamics in special relativity

This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD. Results obtained with different numerical SRHD methods are compared, and two astrophysical applications of SRHD flows are discussed. An evaluation of the various numerical methods is given and future developments are analyzed.

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arXiv1998

The Consistent Multi-fluid Advection method

Simple modifications for higher-order Godunov-type difference schemes are presented which allow for accurate advection of multi-fluid flows in hydrodynamic simulations. The constraint that the sum of all mass fractions has to be equal to one in every computational zone throughout the simulation is fulfilled by renormalizing the mass fractions during the advection step. The proposed modification is appropriate for any difference scheme written in conservation form. Unlike other commonly used methods it does not violate the conservative character of the advection method. A new steepening mechanism, which is based on modification of interpolation profiles, is used to reduce numerical diffusion across composition discontinuities. Additional procedures are described, which are necessary to enforce monotonicity. Several numerical experiments are presented which demonstrate the capability of our Consistent Multi-fluid Advection (CMA) method in case of smooth and discontinuous distributions of fluid phases and under different hydrodynamic conditions. It is shown that due to the reduced diffusivity of the proposed scheme the abundance of some heavy elements obtained from hydrodynamic simulations of type II supernova explosions can change by a factor of a few in the most extreme cases.

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arXiv1995

The First Second of a Type-II Supernova: Convection, Accretion, and Shock Propagation

One- and two-dimensional hydrodynamical simulations of neutrino-driven supernova explosions are discussed. The simulations cover the phase between the stagnation of the prompt shock and about one second after core bounce. Systematic variation of the neutrino fluxes from the neutrino sphere shows that the explosion energy, explosion time scale, initial mass of the protoneutron star, and explosive nucleosynthesis of iron-group elements depend sensitively on the strength of the neutrino heating during the first few 100 ms after shock formation. Convective overturn in the neutrino-heated region behind the shock is a crucial help for the explosion only in a narrow window of neutrino luminosities. Here powerful explosions can be obtained only in the multi-dimensional case. For higher core-neutrino fluxes also spherically symmetrical models yield energetic explosions, while for lower luminosities even with convection no strong explosions occur.

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arXiv1994

The Formation of Disk Galaxies in a Cosmological Context: Structure and Kinematics

We present results concerning the internal structure and kinematics of disk galaxies formed in cosmologically motivated simulations. The calculations include dark matter, gas dynamics, radiative cooling, star formation, supernova feedback and metal enrichment. The initial model is a rigidly rotating overdense sphere with a mass of about 8 10^11 Msol which is perturbed by small scale fluctuations according to a biased CDM power spectrum. Converging, Jeans unstable and rapidly cooling regions are allowed to form stars. Via supernovae, metal enriched gas is returned to the interstellar medium. {}From these initial conditions a galaxy forms which shows the main properties of spiral galaxies: a rotationally supported exponential disk which consists of young stars with about solar metallicity, a slowly rotating halo of old metal poor stars, a bulge of old metal rich stars and a slowly rotating extended halo of dark matter. Bulge, stellar and dark halo are supported by an anisotropic velocity dispersion and have a de Vaucouleurs surface density profile. The flattening of the dark and stellar halo is too large to be explained by rotation only. Whether the flattening of the bulge is caused by an anisotropic velocity dispersion or by its rotation cannot be answered, because of the limited numerical resolution due to gravitational softening. The velocity dispersion and the thickness of the stellar disk increase with the age of the stars. Considering only the young stellar component, the disk is cold (sigma=20 km/sec) and thin (z <1 kpc). The dynamical formation process ends after about 4\,Gyr, when

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arXiv1994

Simulating Self-gravitating Hydrodynamic Flows

An efficient algorithm for solving Poisson's equation in two and three spatial dimensions is discussed. The algorithm, which is described in detail, is based on the integral form of Poisson's equation and utilizes spherical coordinates and an expansion into spherical harmonics. The solver can be applied to and works well for all problems for which the use of spherical coordinates is appropriate. We also briefly discuss the implementation of the algorithm into hydrodynamic codes which are based on a conservative finite--difference scheme.

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arXiv1993

The formation of disk galaxies in a cosmological context: Populations, metallicities and metallicity gradients

We present first results concerning the metallicities and stellar populations of galaxies formed in a cosmologically motivated simulation. The calculations include dark matter, gas dynamics, radiation processes, star formation, supernovae feedback, and metal enrichment. A rotating, overdense sphere with a mass of $8\,10^{11}\,$\Msol\ serves as initial model. Converging and Jeans unstable regions are allowed to form stars, which get their metallicity from the gas they are formed from. Via supernovae, metal enriched gas is given back to the interstellar medium. The forming galaxy shows the main properties of spiral galaxies: A metal rich bulge, a metal poor stellar halo and a disk of nearly solar composition. Halo and bulge consist predominantly of old stars ($>10.5\,$Gyrs). The disk has a metallicity gradient of $\dd(\log Z) / \dd r = - 0.05\,$kpc$^{-1}$, whereas the halo shows none. The models also exhibit a correlation between the metallicity of Pop~II stars and the power of small scale fluctuations. The stars of the bulge form from gas which is initially located in the largest maxima of the primordial density fluctuations, whereas the halo stars originate from gas accumulated in less pronounced maxima.

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arXiv1993

Formation of spiral and elliptical galaxies in a CDM cosmogony

The formation of galaxies in a CDM cosmogony is investigated by following the evolution of dark and baryonic matter and of the frequency- dependent spatially averaged radiation field. The gas is allowed to form stars which are independently treated as a fourth collisionless component. By supernovae, energy and metal enriched gas is returned to the interstellar medium. Two extreme cases, the formation of an isolated field galaxy and the merging of two gas rich proto spirals are considered the latter being used as a model for galaxy formation in a cluster. The isolated galaxy is assumed to interact with the surrounding matter via tidal fields only, resulting in a rotation with a spin parameter of about 0.08. The forming field galaxy shows the main properties of spiral galaxies: A metal rich, rotatianally flattened bulge, a metal poor anisotrope stellar halo and a exponetial disk of nearly solar composition. The spiral is embedded in a triaxial halo of dark matter. The stars of the bulge form from gas which is initially located in the largest maxima of the primordial density fluctuations, whereas the halo stars originate from gas accumulated in less pronounced maxima. Merging proto spirals evolve to objects which can be interpreted as luminous ellipticals . The metal rich anisotrope elliptical rotates only slowly. Depending on the geometry of the merger event sometimes counter rotating gas is observed.

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